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Groups and Semigroups Defined by some Classes of Mealy AutomataAlexander S. Antonenko and Eugene L. Berkovich Abstract (in LaTeX format)Two classes of finite Mealy automata (automata without branches, slow-moving automata) are considered in this article. We study algebraic properties of transformations defined by automata of these classes. We consider groups and semigroups defined by automata without branches. Kewords: finite automata, groups defined by automata, semigroups defined by automata, finite automaton transformations. Full textAvailable electronic editions: PDF. Note that full text is available only for papers that are at least 3 years old. For more recent papers only the first page of the paper is provided. BibTeX entry@ARTICLE{Antonenko:2007:ActaCybernetica,author = {Alexander S. Antonenko and Eugene L. Berkovich}, title = {Groups and Semigroups Defined by some Classes of Mealy Automata}, journal = {Acta Cybernetica}, year = {2007}, volume = {18}, number = {1}, pages = {23--46}, abstract = {Two classes of finite Mealy automata (automata without branches, slow-moving automata) are considered in this article. We study algebraic properties of transformations defined by automata of these classes. We consider groups and semigroups defined by automata without branches.}, keywords = {finite automata, groups defined by automata, semigroups defined by automata, finite automaton transformations} }
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